Here is all you need to know about neutrino: https://github.com/bitcoin/bips/blob/master/bip-0157.mediawiki

Exactly for this was created neutrino (BIP157), to be able to run a LND node without the need of full bitcoin blocks on the same machine.

You can use well known public neutrino nodes like: btcd1.lnolymp.us | btcd2.lnolymp.us - for US region sg.lnolymp.us - for Asia region btcd-mainnet.lightning.computer - for US region uswest.blixtwallet.com (Seattle) - for US region europe.blixtwallet.com (Germany) - for EU region asia.blixtwallet.com - for Asia region node.eldamar.icu - for US region noad.sathoarder.com - for US region bb1.breez.technology | bb2.breez.technology - for US region neutrino.shock.network - US region

Or search random ones in your area https://bitnodes.io/nodes/?q=NODE_COMPACT_FILTERS

You could also run a full bitcoin core on your own machine with activated neutrino mode and point your other LND machine/device to your own neutrino. Can be in the same LAN IP, tailscale private IP or public IP/domain. You can run it privately (only for you) or publicly (to share with others).

If you run a bitcoin core solely for having a full node synced, this node you can use it for multiple other LN nodes, using neutrino. Is a very elegant way to run multiple LN nodes without hassle.

Example: you can spin up a LND node on a cheap VPS and point to your home bitcoin core node as neutrino peer. Or to whatever of those mentioned above. You can also run multiple LND nodes in VMs on a local machine and point them to your local core neutrino machine/IP.

That doesn't affect your full bitcoin core node except your internet connection, but you are just "serving" blocks info. As a LND client to a random neutrino server, you are not revealing any of your information (IP, pubkey, traffic etc) you are just reading blocks, nothing else.